3.2 Solving Inequalities in One Variable

Solve the inequality:

–2x > –10

(a)  

• x > 5
• x < 5
• x > –5
• x < –5

Solve the inequality:

3(x – 1) ≥ –9

(a)  

• x ≥ –2
• x ≥ 2
• x ≤ –2
• x ≤ 2

Graph the solution set of the inequality.

–4n + 1 > –23

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Tags

CCSS.7.EE.B.4B

Graph the solution set of the inequality.

–4a ≤ –28

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Tags

CCSS.6.EE.B.8

Solve the inequality:

2x + 5 > 2x + 8

(a)  

• x > 3
• x > –3
• Infinite Solutions
• No Solution

Solve the inequality:

3(n + 1) ≤ 3n + 4

(a)  

• n ≤ 1
• n ≤ –1
• Infinite Solutions
• No Solution

Graph the solution set of the inequality.

2n + 4 < 16

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Tags

CCSS.7.EE.B.4B

Solve the inequality:

4n – 5 < 4(n – 2) + 9

(a)  

• n < 6
• n < 4
• Infinite Solutions
• No Solution

Solve the inequality:

10 – 2x ≥ –4

(a)  

• x ≥ –7
• x ≤ 7
• x ≥ 7
• x ≤ –7

Solve the inequality:

–3x + 1 ≤ 13

(a)  

• x ≤ –4
• x ≥ –4
• x ≥ 15
• x ≤ 15